102001332300 has 144 divisors (see below), whose sum is σ = 339549100800. Its totient is φ = 23158045440.

The previous prime is 102001332289. The next prime is 102001332317. The reversal of 102001332300 is 3233100201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102001332300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149907 + ... + 475893.

Almost surely, 2^102001332300 is an apocalyptic number.

102001332300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169774550400).

102001332300 is an abundant number, since it is smaller than the sum of its proper divisors (237547768500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102001332300 is a wasteful number, since it uses less digits than its factorization.

102001332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326160 (or 326153 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102001332300 its reverse (3233100201), we get a palindrome (105234432501).

The spelling of 102001332300 in words is "one hundred two billion, one million, three hundred thirty-two thousand, three hundred".